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otez555 [7]
3 years ago
6

Find the congruence transformation that maps ∆ABC to ∆A’B’C’. Explain your reasoning

Mathematics
1 answer:
aalyn [17]3 years ago
7 0
To flip any of the points to map up correctly to the other points, you would have to do a reflection over the y-axis. The reasoning for this is because you cannot dilate your shape because it won't map over correctly. A translation will not work, mainly because the shape still needs to flip. A rotation will also not work because when you rotate it, the shape will still not map over your new one. 

-So your answer to this question would be that only a Reflection over the y-axis will allow the two shapes to map over each other correctly.
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Suppose the round-trip airfare between Philadelphia and Los Angeles a month before the departure date follows the normal probabi
QveST [7]

Answer:

52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 387.20, \sigma = 68.50

What is the probability that a randomly selected airfare between these two cities will be between $325 and $425?

This is the pvalue of Z when X = 425 subtracted by the pvalue of Z when X = 325. So

X = 425

Z = \frac{X - \mu}{\sigma}

Z = \frac{425 - 387.20}{68.50}

Z = 0.55

Z = 0.55 has a pvalue of 0.7088

X = 325

Z = \frac{X - \mu}{\sigma}

Z = \frac{325 - 387.20}{68.50}

Z = -0.91

Z = -0.91 has a pvalue of 0.1814

0.7088 - 0.1814 = 0.5274

52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425

7 0
3 years ago
The price of of a mathematical set. was Ugx 2400 a month ago,and now it is Ugx 3000 - Find The percentage increase​
Ivanshal [37]

Step-by-step explanation:

[tex]Another example , when a straight wire is moved up and down rapidly between the two poles of a horseshoe magnet , then an electric current is produced in the wire. This is also an example of electromagnetic induction .

5 0
2 years ago
9. The formula V = wh is the volume formula for a rectangular prism. Find the length
Lelu [443]
Answer c 10cm
good luck
4 0
3 years ago
You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as
Margaret [11]

Answer:

5/162

Step-by-step explanation:

There's a 5/9 chance that you spin an odd and a 1/2 chance you get heads and a 1/9 chance you get a 3 on the spinner multiply the fractions together and get 5/162.

8 0
3 years ago
Given your sister's incomplete text,
egoroff_w [7]

Explanation:

Quadrants 2 and 3 houses points that have negative x-values, while as Quadrants 1 and 4 houses points that have positive x-values.

If 'your sister' completes the text with negative y-value, the point would be in Q3.

If 'your sister' completes the text with positive y-value, the point would be in Q2.

8 0
3 years ago
Read 2 more answers
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